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Inverse Approximation Theorems in the Spaces \(S^{(p,q)}(\sigma^{m-1})\)
AbstractThe article continues the author’s research, which began in [
1 ]–[3 ]. Inverse approximation theorems are established in the spaces... -
Applications to \({\mathbb {A}}^1\)-enumerative geometry of the \({\mathbb {A}}^1\)-degree
These are lecture notes from the conference Arithmetic Topology at the Pacific Institute of Mathematical Sciences on applications of Morel’s
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A \({\bar{\partial }}\)-Steepest Descent Method for Oscillatory Riemann–Hilbert Problems
We study the long-time asymptotic behavior of oscillatory Riemann–Hilbert problems (RHPs) arising in the mKdV hierarchy (reducing from the AKNS...
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A New Application of the \({\bar{\partial }}\)-Method
By constructing a new calculating rule of Lie bracket, we construct a new nonlinear Schrödinger hierarchy and its reduction equations via using the
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Optimizers of the Sobolev and Gagliardo–Nirenberg inequalities in \( \dot{W}^{s,p} \)
In this paper, we consider the existence of optimizers for the following Sobolev and Gagliardo–Nirenberg intepolation inequalities in
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